Prolongation approach to Bäcklund transformation of Zhiber–Mikhailov–Shabat equation

DOI10.1063/1.531576zbMath0863.58074arXivhep-th/9607014OpenAlexW2097652506MaRDI QIDQ5284800

You-Quan Li, Huan-Xiong Yang

Publication date: 3 June 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9607014

zbMATH Keywords

Bäcklund transformationZhiber-Mikhailov-Shabat equation

Mathematics Subject Classification ID

Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (4)

Constructing multiple prolongation structures from homotopic maps ⋮ Stuart Vortices Extended to a Sphere Admits Infinite-Dimensional Generalized Symmetries ⋮ An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws ⋮ Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation

Cites Work

• Bäcklund autotransformation for the equation \(u_{xt}=e^ u-e^{-2u}\)
• Prolongation structures of nonlinear equations and infinite-dimensional algebras
• Prolongation structures of nonlinear evolution equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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